In recent years, the study of synchronization of identical chaotic systems subjected to a common fluctuating random driving signal has drawn considerable interest. In this communication, we report that it is possible to achieve synchronization between two identical chaotic systems, which are not coupled directly but subjected to an external chaotic signal. The external chaotic signal may be obt...

N. A. Kraemer, S. Krueger, S. Schmitz, M. Linssen, H. Schade, S. Weiss, R. W. Guenther, A. Buecker, and G. A. Krombach Diagnostic Radiology, RWTH Aachen, Aachen, Germany, Imaging Systems and Intervention, Philipps Research Europe, Hamburg, Germany, Fraunhofer Institute for Production Technology, Aachen, Germany, Hemoteq GmbH, Wuerselen, Germany, Andramed GmbH, Reutlingen, Germany, Diagnostic an...

This paper presents the result of the investigation of chaotic oscillator synchronization. A new approach for detecting of synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by the coupled chaotic oscillators. This approach has been applied for the coupled Rössler and Lorenz systems.

This paper deals with the master–slave synchronization scheme for partially known nonlinear fractional order systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown state variables. For solving this problem we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the desi...

This paper explores predictability of behavior in coordination games with multiple equilibria. In a laboratory experiment we measure subjects’ certainty equivalents for three coordination games and one lottery. Attitudes towards strategic uncertainty in coordination games are related to risk aversion, experience seeking, gender and age. From the distribution of certainty equivalents among parti...

of Rössler Systems Xiaoxin Liao Department of Control Science and Engineering Huazhong University of Technology Wuhan, Hubei, 430074 P. R. China xiaoxin [email protected] Pei Yu Department Of Applied Mathematics University of Western Ontario London, Ontario, N6A 5B7 Canada [email protected] Abstract— This paper considers the global chaos control and synchronization of several classical Rös...

The criteria for complete synchronization of strictly different chaotic systems using feedback control are presented in this paper. Complete synchronization is achieved when all the states in the slave system are synchronous with the corresponding state in the master system. We illustrate that using a single input and single output control scheme, the synchronization of a class of strictly diff...

Partial state variables stabilization control of uncertain nonlinear systems is developed for chaos systems synchronization control. Response systems are constructed for uncertain Rössler systems. In order to make response systems track the drive systems asymptotically stable, error systems with uncertain and nonlinear factors are designed. Using partial state stability theory of nonlinear syst...

Episode of unusual high solar ultraviolet radiation in central Europe due to dynamical reduced stratospheric ozone in May 2005 C. Stick, K. Krüger, N. H. Schade, H. Sandmann, and A. Macke Institut für Medizinische Klimatologie an der Universität Kiel, 24118 Kiel, Germany Alfred Wegener Institut für Polarund Meeresforschung, 14401 Potsdam, Germany Leibniz-Institut für Meereswissenschaften an der...

In this paper, we investigate the effects of degree correlation on the synchronization of networks of coupled identical nonlinear oscillators. Firstly, it is shown both numerically and theoretically that synchronizability is enhanced when the network topology exhibits negative degree correlation. Then, the synchronization dynamics is studied of a network of identical Rössler oscillators under v...